QuestionEvaluate: $2 \cdot 4 + (8 + 1)^{2}$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $\cdot4+(8+1)^{}$ . The order of operations, also known as BIDMAS or PEMAS, should be followed. This stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to simplify the expression inside the brackets.
$8 +1$

STEP 3

Calculate the value inside the brackets.
$8 +1 =9$

STEP 4

Now, replace the value inside the brackets in the original expression.
$2 \cdot4 +9^{2}$

STEP 5

Next, we need to calculate the exponent (or power) in the expression.
$9^{2}$

STEP 6

Calculate the value of the exponent.
$9^{2} =81$

STEP 7

Now, replace the value of the exponent in the original expression.
$2 \cdot4 +81$

STEP 8

Next, we need to perform the multiplication in the expression.
$2 \cdot4$

STEP 9

Calculate the value of the multiplication.
$2 \cdot4 =8$

STEP 10

Now, replace the value of the multiplication in the original expression.
$8 +81$

STEP 11

Finally, perform the addition to get the final result.
$8 +81 =89$ So, the value of the given expression is89.

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QuestionEvaluate: $2 \cdot 4 + (8 + 1)^{2}$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $\cdot4+(8+1)^{}$ . The order of operations, also known as BIDMAS or PEMAS, should be followed. This stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to simplify the expression inside the brackets.
$8 +1$

STEP 3

Calculate the value inside the brackets.
$8 +1 =9$

STEP 4

Now, replace the value inside the brackets in the original expression.
$2 \cdot4 +9^{2}$

STEP 5

Next, we need to calculate the exponent (or power) in the expression.
$9^{2}$

STEP 6

Calculate the value of the exponent.
$9^{2} =81$

STEP 7

Now, replace the value of the exponent in the original expression.
$2 \cdot4 +81$

STEP 8

Next, we need to perform the multiplication in the expression.
$2 \cdot4$

STEP 9

Calculate the value of the multiplication.
$2 \cdot4 =8$

STEP 10

Now, replace the value of the multiplication in the original expression.
$8 +81$

STEP 11

Finally, perform the addition to get the final result.
$8 +81 =89$ So, the value of the given expression is89.

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QuestionEvaluate: 2⋅4+(8+1)22 \cdot 4 + (8 + 1)^{2}2⋅4+(8+1)2.

Studdy Solution

STEP 1

Assumptions1. The given expression is ⋅4+(8+1) \cdot4+(8+1)^{}⋅4+(8+1) . The order of operations, also known as BIDMAS or PEMAS, should be followed. This stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to simplify the expression inside the brackets.8+18 +18+1

STEP 3

Calculate the value inside the brackets.8+1=98 +1 =98+1=9

STEP 4

Now, replace the value inside the brackets in the original expression.2⋅4+922 \cdot4 +9^{2}2⋅4+92

STEP 5

Next, we need to calculate the exponent (or power) in the expression.929^{2}92

STEP 6

Calculate the value of the exponent.92=819^{2} =8192=81

STEP 7

Now, replace the value of the exponent in the original expression.2⋅4+812 \cdot4 +812⋅4+81

STEP 8

Next, we need to perform the multiplication in the expression.2⋅42 \cdot42⋅4

STEP 9

Calculate the value of the multiplication.2⋅4=82 \cdot4 =82⋅4=8

STEP 10

Now, replace the value of the multiplication in the original expression.8+818 +818+81

STEP 11

Finally, perform the addition to get the final result.8+81=898 +81 =898+81=89So, the value of the given expression is89.

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QuestionEvaluate: $2 \cdot 4 + (8 + 1)^{2}$ .

Assumptions1. The given expression is $\cdot4+(8+1)^{}$ . The order of operations, also known as BIDMAS or PEMAS, should be followed. This stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

First, we need to simplify the expression inside the brackets.
$8 +1$

Calculate the value inside the brackets.
$8 +1 =9$

Now, replace the value inside the brackets in the original expression.
$2 \cdot4 +9^{2}$

Next, we need to calculate the exponent (or power) in the expression.
$9^{2}$

Calculate the value of the exponent.
$9^{2} =81$

Now, replace the value of the exponent in the original expression.
$2 \cdot4 +81$

Next, we need to perform the multiplication in the expression.
$2 \cdot4$

Calculate the value of the multiplication.
$2 \cdot4 =8$

Now, replace the value of the multiplication in the original expression.
$8 +81$

Finally, perform the addition to get the final result.
$8 +81 =89$ So, the value of the given expression is89.